Complex Analysis

Part I: Complex Variables, Lec 1: The Complex Numbers

Order: Reorder
Duration: 43:37
Updated: 16 Aug 2013

Part I: Complex Variables, Lecture 1: The Complex Numbers Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creati...

http://wn.com/Part_I_Complex_Variables,_Lec_1_The_Complex_Numbers

A Whirlwind Tour of Basic Complex Analysis (Part 1)

Order: Reorder
Duration: 15:17
Updated: 18 Jul 2013

Part 1 of a short series of videos laying out the fundamentals of complex derivatives and integrals. Purposely quick presentation. (I adapted these from a si...

http://wn.com/A_Whirlwind_Tour_of_Basic_Complex_Analysis_Part_1

Part I: Complex Variables, Lec 3: Conformal Mappings

Order: Reorder
Duration: 36:00
Updated: 18 Aug 2013

Part I: Complex Variables, Lecture 3: Conformal Mappings Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creativ...

http://wn.com/Part_I_Complex_Variables,_Lec_3_Conformal_Mappings

Part I: Complex Variables, Lec 2: Functions of a Complex Variable

Order: Reorder
Duration: 35:08
Updated: 14 Aug 2013

Part I: Complex Variables, Lecture 2: Functions of a Complex Variable Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 Lic...

http://wn.com/Part_I_Complex_Variables,_Lec_2_Functions_of_a_Complex_Variable

Part I: Complex Variables, Lec 5: Integrating Complex Functions

Order: Reorder
Duration: 34:51
Updated: 18 Aug 2013

Part I: Complex Variables, Lecture 5: Integrating Complex Functions Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 Licen...

http://wn.com/Part_I_Complex_Variables,_Lec_5_Integrating_Complex_Functions

Basic Complex Analysis

Order: Reorder
Duration: 13:04
Updated: 13 Aug 2013

Learn more: http://www.khanacademy.org/video?v=FwuPXchH2rA Argand Diagram, magnitude, modulus, argument, exponential form.

http://wn.com/Basic_Complex_Analysis

Complex Analysis Lecture 1—Brief Outline

Order: Reorder
Duration: 29:38
Updated: 17 Jun 2013

F09 Suffolk Math 481 Professor Adam Glesser.

http://wn.com/Complex_Analysis_Lecture_1—Brief_Outline

MH2801 Why Learn Complex Analysis

Order: Reorder
Duration: 9:11
Updated: 22 Jul 2013

In this video segment, I will explain the motivations for learning the complex contour integral theorems and the Laurent series expansion, for the ultimate p...

http://wn.com/MH2801_Why_Learn_Complex_Analysis

Integral of 1/(1+x^4)

Order: Reorder
Duration: 11:58
Updated: 18 Aug 2013

Complex analysis: Using the Residue Theorem, we show that the improper integral of 1/(1+x^4) over the real line equals pi sqrt(2)/2. Key steps include comput...

http://wn.com/Integral_of_1_1+x^4

Residues and Cauchy's Residue Theorem

Order: Reorder
Duration: 14:01
Updated: 17 Aug 2013

For my Complex Analysis Class, instead of a final exam, we had to make a video about one of the topics we covered in class. This is the first video I've ever...

http://wn.com/Residues_and_Cauchy's_Residue_Theorem

Complex Analysis: Integration Basics

Order: Reorder
Duration: 4:00
Updated: 12 Jun 2013

http://wn.com/Complex_Analysis_Integration_Basics

An Invitation to Complex Analysis

Order: Reorder
Duration: 3:01
Updated: 14 May 2013

In this video we describe a course on complex analysis, including geometry, complex dynamics, and perhaps most importantly, some applications of these topics...

http://wn.com/An_Invitation_to_Complex_Analysis

Complex Analysis Lecture 6—Limits, analyticity and the Cauchy--Riemann equations

Order: Reorder
Duration: 72:36
Updated: 04 Nov 2013

We properly define the limit of a complex function as well as continuity and differentiability. We give a couple of examples of seemingly nice functions for which derivatives don't exist. We then derive the Cauchy-Riemann equations and use these to rule out differentiability of some functions. Finally, we give a sufficient condition for when a function is analytic in an open set.

http://wn.com/Complex_Analysis_Lecture_6—Limits,_analyticity_and_the_Cauchy--Riemann_equations

Complex Analysis, Video #26 (Complex Arithmetic, Part 26

Order: Reorder
Duration: 10:44
Updated: 16 Jul 2013

Main Topics: definition of an open disk ("circular neighborhood"), interior point, and open set. Example: the open right half plane is an open set. Visualize...

http://wn.com/Complex_Analysis,_Video_26_Complex_Arithmetic,_Part_26

Part I: Complex Variables, Lec 4: Sequences and Series

Order: Reorder
Duration: 33:36
Updated: 08 Aug 2013

Part I: Complex Variables, Lecture 4: Sequences and Series Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creat...

http://wn.com/Part_I_Complex_Variables,_Lec_4_Sequences_and_Series

Complex Analysis: The Difference Between Cauchy's Theorem and Cauchy's Integral Formula

Order: Reorder
Duration: 5:01
Updated: 24 Jul 2013

http://wn.com/Complex_Analysis_The_Difference_Between_Cauchy's_Theorem_and_Cauchy's_Integral_Formula

Complex Analysis Lecture 9—Complex trig functions and the complex logarithm

Order: Reorder
Duration: 66:06
Updated: 04 Aug 2013

F09 Suffolk Math 481 Professor Adam Glesser.

http://wn.com/Complex_Analysis_Lecture_9—Complex_trig_functions_and_the_complex_logarithm

Complex Analysis Limit Example

Order: Reorder
Duration: 4:38
Updated: 13 Jun 2013

http://wn.com/Complex_Analysis_Limit_Example

Complex Analysis Mapping

Order: Reorder
Duration: 4:53
Updated: 28 Jun 2013

http://wn.com/Complex_Analysis_Mapping

Complex Analysis: Laurent Series

Order: Reorder
Duration: 4:51
Updated: 04 Jul 2013

http://wn.com/Complex_Analysis_Laurent_Series

Complex Analysis: Orders of Zeros and Poles

Order: Reorder
Duration: 4:12
Updated: 22 Jul 2013

http://wn.com/Complex_Analysis_Orders_of_Zeros_and_Poles

Lec23 工程數學(二) 第七章 Complex Analysis (5/10)

Order: Reorder
Duration: 100:19
Updated: 25 Mar 2013

Analytic functions Taylor and Laurent series Cauchy integral and the residue theorem Application to stability analysis of systems Conformal mapping 授課教師：機械工程...

http://wn.com/Lec23_工程數學二_第七章_Complex_Analysis_5_10

Complex Analysis: Five Contour Integral Examples

Order: Reorder
Duration: 5:01
Updated: 05 Aug 2013

http://wn.com/Complex_Analysis_Five_Contour_Integral_Examples

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